Question

A person is initially driving a car east down a straight road. the magnitude of the instantaneous acceleration is decreasing with time, but the direction of the acceleration is always to the east. the speed of the car is

Answer 1

Answer:

if acceleration of car decreasing then the velocity of car must increase but the rate of increase will be slower than initial rate

Explanation:

As we know that instantaneous acceleration is defined as the rate of change in velocity

so we will have

$a = \frac{dv}{dt}$

so acceleration gives us an idea about the rate by which velocity is increasing

now if the acceleration of a car is decreasing with time then it shows that the rate by which velocity of car is increasing with time is decreasing but still the car velocity is going up.

So we can say that if acceleration of car decreasing then the velocity of car must increase but the rate of increase will be slower than initial rate

Answer 2

By definition, acceleration is the change in velocity per change of time. As time passes by, the time increases in value. So, when the acceleration is decreasing while the time is increasing, then that means that the change of velocity is also decreasing with time. So, optimally, the initial velocity and the velocity at any time are very relatively close to each other,